135519816960 has 792 divisors, whose sum is σ = 534439561824. Its totient is φ = 32651735040.

The previous prime is 135519816941. The next prime is 135519816961. The reversal of 135519816960 is 69618915531.

135519816960 is a `hidden beast` number, since 1 + 3 + 5 + 519 + 8 + 1 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135519816897 and 135519816906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135519816961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 831409839 + ... + 831410001.

Almost surely, 2^135519816960 is an apocalyptic number.

135519816960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135519816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267219780912).

135519816960 is an abundant number, since it is smaller than the sum of its proper divisors (398919744864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135519816960 is an frugal number, since it uses more digits than its factorization.

135519816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 135519816960 in words is "one hundred thirty-five billion, five hundred nineteen million, eight hundred sixteen thousand, nine hundred sixty".